72772784641 has 2 divisors, whose sum is σ = 72772784642. Its totient is φ = 72772784640.

The previous prime is 72772784627. The next prime is 72772784671. The reversal of 72772784641 is 14648727727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40118487616 + 32654297025 = 200296^2 + 180705^2 .

It is an emirp because it is prime and its reverse (14648727727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72772784641 - 2²⁵ = 72739230209 is a prime.

It is not a weakly prime, because it can be changed into another prime (72772784671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36386392320 + 36386392321.

It is an arithmetic number, because the mean of its divisors is an integer number (36386392321).

Almost surely, 2^72772784641 is an apocalyptic number.

It is an amenable number.

72772784641 is a deficient number, since it is larger than the sum of its proper divisors (1).

72772784641 is an equidigital number, since it uses as much as digits as its factorization.

72772784641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7375872, while the sum is 55.

The spelling of 72772784641 in words is "seventy-two billion, seven hundred seventy-two million, seven hundred eighty-four thousand, six hundred forty-one".